Perpendicular Lines

Practice Questions

GMAT Quantitative Reasoning › Perpendicular Lines

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1

Consider the lines of the equations

and

Are these two lines parallel, perpendicular, or neither?

Statement 1: $\frac{A}{B} < 0$

Statement 2:

2

Consider and .

Find the slope of .

I) passes through the point .

II) is perpendicular to .

3

Consider the lines of the equations

and

Are these two lines parallel, perpendicular, or neither?

Statement 1: $\frac{A}{B} < 0$

Statement 2:

4

Consider and .

Find the slope of .

I) passes through the point .

II) is perpendicular to .

5

Find the equation to a line perpendicular to line .

The slope of line is $-\frac{5}{3}$ .
Line goes through point .

6

Transversal

Refer to the above figure.

True or false: $m \perp t$

Statement 1: $m \angle 2 = 89^{\circ }$

Statement 2: $\angle 3 \cong \angle 6$

7

Find the equation to a line perpendicular to line .

The slope of line is $-\frac{5}{3}$ .
Line goes through point .

8

Calculate the equation of a line perpendicular to line .

The equation for line is .
Line goes through point .

9

Calculate the equation of a line perpendicular to line .

The equation for line is .
Line goes through point .

10

You are given two lines. Are they perpendicular?

Statement 1: The product of their slopes is 1.

Statement 2: The sum of their slopes is $\frac{5}{2}$ .

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